Turbulent two-phase

Chenoweth, J. M. and Martin, M. W. Trans. Am. Soc. Mech. Eng., Paper 55 PET-9 (1955). A pressure drop correlation for turbulent two-phase flow of gas-liquid mixtures in horizontal pipes. 

Slug flow. As a very complex, unsteady, turbulent two-phase flow, slug flow typically has high acceleration and decelerations of liquid, which causes steep pressure drops. Dukler and Hubbard (1975) considered the basic hydrodynamic structure of a slug unit as consisting of several regions (Fig. 3.39) ... 

For turbulent flow in single-phase systems, the predicted temperature profile is not changed significantly if the Peclet number is assumed to be infinite. Therefore, in turbulent two-phase systems the second-order terms in Eqs. (9) probably do not have a significant effect on the resulting temperature profiles. In view of the uncertainties in the present state of the art for determining the holdups and the heat-transfer coefficients, the inclusion of these second-order terms is probably not justified, and the resulting first-order equations should adequately model the process. 

Issa, R., and Gosman, A. D., The Computation of Three-Dimensional Turbulent Two-Phase Flow in Mixer Vessels . Proc. 2nd Int. Conf. Num. Meth. Lam. Turb. Flows, Venice, Italy (1981). 

A spray is a turbulent, two-phase, particle-laden jet with droplet collision, coalescence, evaporation (solidification), and dispersion, as well as heat, mass and momentum exchanges between droplets and gas. In spray modeling, the flow of gas phase is simulated typically by solving a series of conservation equations coupled with the equations for spray process. The governing equations for the gas phase include the equations of mass, momentum and energy... 

First a steady turbulent two-phase flame is calculated. The 15 pm droplet motion follows the carrier phase dynamics so that the Centered Recirculation Zones (CRZ) are similar for gas and liquid, as illustrated on Fig. 10.4, showing the instantaneous backflow lines of both phases, plotted in the vertical central cutting plane. Maintained by this CRZ, the droplets accumulate and the droplet number density, presented with the liquid volume fraction field on Fig. 10.4, rises above its initial value a zone where the droplet number density n is larger than 2n j j (where is its value... 

Gosman, A.D., Lekakou, C., Politis, S., Issa, R.I. and Looney, M.K. (1992), Multi-dimensional modeling of turbulent two-phase flows in stirred vessels, AIChE J., 38, 1946-1956. 

Gosman AD, Lekakou C, Polits S, Issa RI, Looney MK (1992) Multidimensional Modeling of Turbulent Two-Phase Flows in Stirred Vessels. AIChE J 38(12) 1946-1956... 

Shames IH (1962) Mechanics of fluids. McGraw-Hill, New York Simonin O (1990) Eulerian formulation for particle dispersion in turbulent two-phase flows. Proc 5th workshop on two-phase flow predictions, Erlangen, FRG, pp 156-166... 

Viollet PL, Simonin O, Olive J, Minier JP (1992) Modelling Turbulent two-phase flows in industrial equipment. In Computational methods in applied sciences, ed Hirsh C, Elevier Sciences, New York, pp 213-224... 

Langlois WE (1964) Slow Viscous Flow. Macmillan, New York Laux H (1998) Modeling of dilute and dense dispersed fluid-particle flow. Dr Ing Thesis, Norwegian University of Science and Technology, Trondheim, Norway Lawler MT, Lu P-C (1971) The role of lift in radial migration of particles in a pipe flow. In Zandi 1 (ed) Advances in Solid-Liquid Flow in Pipes and its Apphcations. Pergamon Press, Oxford, Chap 3, pp. 39-57 Lee SL (1987) Particle drag in a dilute turbulent two-phase suspension flow. Int J Multiphase Flow 13(2) 247-256... 

Lee SL (1987) A unified theory on particle transport in turbulent dilute two-phase suspension flow-11. Int J Multiphase Flow 13(1) 137-144 Lee SL, Borner T (1987) Fluid flow structure in a dilute turbulent two-phase suspension flow in a vertical pipe. Int J Multiphase Flow 13(2) 233-246 Lee SL, Durst F (1982) On the motion of particles in turbulent duct flows. Int J Multiphase Flow 8(2) 125-146... 

Lee SL, Wiesler MA (1987) Theory on transverse migration of particles in a turbulent two-phase suspension flow due to turbulent diffusion-1. Int J Multiphase Flow 13(1) 99-111... 

Ueyama K, Miyauchi T (1979) Properties of Recirculating Turbulent Two Phase Flow in Gas Bubble Column. AIChE J 25(2) 258-266... 

Eggers R, Wagner H. Extraction device for high viscous media in a high-turbulent two-phase flow with SC-CO2. J Supercrit Fluids 1993 6 31-37. 

In the literature on turbulent two-phase flow (Minier Peirano, 2001 Peirano Minier, 2002 Simonin et al, 1993), the fluid phase is usually treated using a separate distribution function whose integral over phase space leads to the fluid-phase mass density. Here, we use a different approach starting from n(f, x, Vp, p, Vf, f). In this approach, we let the internal coordinate be equal to the fluid mass seen by a particle. The fluid-phase mass density is then given by... 

Pehiano, E. Minier, J.-P. 2002 Probabilistic formalism and hierarchy of models for polydispersed turbulent two-phase flows. Physical Review E 65, 046301. 

SiMONiN, O., Deutsch, E. Minier, j. P. 1993 Eulerian prediction of the fluid/particle correlated motion in turbulent two-phase flows. Applied Scientific Research 51, 275-283. 

V. S. Arpaci and S.-H. Kao, Microscales of turbulent two-phase film, in ANS Proceedings 1996 National Heat Transfer Conference, HTC 9,417-424. Houston, Texas, 1996. 

The rest of the chapter follows our approach to Chapters 5 and 6. First, we study laminar two-phase flow by approximate analytical means. Next, we consider the dimensionless numbers appropriate for two-phase. Finally, we correlate experimental data on turbulent two-phase in terms of these numbers. 

In previous papers, the authors have reported on progress in various steps in the development of an advanced multidomain spectral element code for simulations of turbulent two-phase flows [1, 2]. This code was also applied for simulation of the flow over a square cylinder and the channel flow for preliminary assessments. 

Derevich, I. V. 2000. Statistical modeling of mass transfer in turbulent two-phase dispersed flows — 1. Model development. Int. J. Heat Mass Transfer 43 3709. 

For a directed two-phase flow, i.e. when the temporal variation of the particle trajectory through the measurement volume is relatively small, for example in a spray, the mean particle trajectory angle may be determined from independent measurements of the individual velocity components as shown by Qiu and Sommerfeld (1992). In complex turbulent two-phase flows, generally a three-component PDA-system is required for accurate concentration and mass flux measurements. 

Beyerlein, S.W., Cossmann, R.K., and Richter, H.J. (1985), Prediction of bubble concentration profiles in vertical turbulent two-phase flow, International Journal of Multiphase Elow, 11(5) 629-641. 

Issa RI, Gosman AD (1981) The computation of three-dimensional turbulent two phase flows in mixer vessels. In Numerical methods in laminar and turbulent flow. Pineridge Press, Swansea, p 829... 

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